Cohomology: Cross Product

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Related lectures (30)

Homomorphisms and Projective Resolutions Log in to Mediaspace to watch this video

Covers homomorphisms, projective modules, and resolutions in chain complexes.

Homology of Projective Space Log in to Mediaspace to watch this video

Covers the homology of projective space, focusing on cohomology and exact sequences.

Decomposition of Group Algebras Log in to Mediaspace to watch this video

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Cohomology: Recollection and Foliations Log in to Mediaspace to watch this video

Covers cohomology, injective resolutions, and acyclic objects in an abelian category.

Algebra: Chain Complexes Log in to Mediaspace to watch this video

Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.

Chain Maps: Homotopy Invariance Log in to Mediaspace to watch this video

Covers chain maps, homotopy invariance, homology groups, and induced homomorphisms between cycles and boundaries.

Zig Zag Lemma Log in to Mediaspace to watch this video

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Homological Algebra: Basics and Applications Log in to Mediaspace to watch this video

Covers the basics of Homological algebra, focusing on Ext modules and their significance in modern mathematics.

Ideals and Representations Log in to Mediaspace to watch this video

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Universal Coefficient Theorems Log in to Mediaspace to watch this video

Delves into the universal coefficient theorems in homological algebra, showcasing their practical application in computing homology and cohomology groups.

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